Observer-Based Control for Nonlinear Time-Delayed Asynchronously Switching Systems: A New LMI Approach

Amin Taghieh, Ardashir Mohammadzadeh, Jafar Tavoosi, Saleh Mobayen, Thaned Rojsiraphisal, Jihad H. Asad and Anton Zhilenkov
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Amin Taghieh: Faculty of Electrical and Computer Engineering, University of Tabriz, Tabriz 5166616471, Iran
Ardashir Mohammadzadeh: Electrical Engineering Department, University of Bonab, Bonab 5551395133, Iran
Jafar Tavoosi: Department of Electrical Engineering, Ilam University, Ilam 69315516, Iran
Saleh Mobayen: Future Technology Research Center, National Yunlin University of Science and Technology, Douliu 64002, Taiwan
Thaned Rojsiraphisal: Advanced Research Center for Computational Simulation, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
Jihad H. Asad: Department of Physics, Faculty of Applied Sciences, Palestine Technical University, Tulkarm P.O. Box 7, Palestine
Anton Zhilenkov: Department of Cyber-Physical Systems, St. Petersburg State Marine Technical University, 190121 Saint-Petersburg, Russia

Mathematics, 2021, vol. 9, issue 22, 1-25

Abstract: This paper designs an observer-based controller for switched systems (SSs) with nonlinear dynamics, exogenous disturbances, parametric uncertainties, and time-delay. Based on the multiple Lyapunov–Krasovskii and average dwell time (DT) approaches, some conditions are presented to ensure the robustness and investigate the effect of time-delay, uncertainties, and lag issues between switching times. The control parameters are determined through solving the established linear matrix inequalities (LMIs) under asynchronous switching. A novel LMI-based conditions are suggested to guarantee the H ∞ performance. Finally, the accuracy of the designed observer-based controller is examined by simulations on practical case-study plants.

Keywords: observer-based controller; time-delay; parametric uncertainties; multiple Lyapunov–Krasovskii; average dwell time method; LMI; asynchronous switching (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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